Analytical determination of DNA melting characteristic parameters using the optimal degree polynomial regression model

Abstract

Abstract The article describes a new technique for determining two main parameters of DNA melting: the melting temperature Tm and the temperature melting range ΔT, based on the plotting of an approximating polynomial function for the DNA melting curve. An algorithm is proposed for reducing the melting curve to approximation by the fourth degree polynomial function in accordance with the physical aspect of the DNA melting process. The correctness of the optimal degree choice from the condition of minimizing the value of the Akaike’s information criterion corrected has been confirmed. Analytical expressions for calculating the values of Tm and ΔT are given oriented to a polynomial function of the fourth degree. Results comparison of applying the proposed and well-known techniques based on the experimental data is performed. The advantages of the new technique are revealed.